Pricing Early-Exercise and Discrete Barrier Options by Fourier-Cosine Series Expansions

Abstract

We present a
pricing method based on Fourier-cosine expansions for early-exercise and discretely-monitored barrier options. The method works well for exponential Levy asset price models.
The error convergence is exponential for processes characterized by very smooth transitional probability density functions. The computational complexity is $O((M-1) N \log{N})$ with $N$ a (small) number of terms
from the series expansion, and $M$, the number of
early-exercise/monitoring dates.

Item Type:

MPRA Paper

Original Title:

Pricing Early-Exercise and Discrete Barrier Options by Fourier-Cosine Series Expansions